λ
Harmonic Matrix

1,119,493

47 × 23819
Deficient Odd Composite

1,119,493 has digital root 1. The neighboring primes are 1119473 and 1119523; its proper-divisor sum differs from the starting integer by -1,095,626.

Prime Factor Structure

Factorization String 47 × 23819
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,143,360
Proper Divisor Sum 23,867
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1119473 ← → #1119523

Radix Representation

Decimal 1119493
Binary 100010001010100000101 (21 bits)
Octal 0o4212405
Hexadecimal 0x111505

Divisor Catalog (4)

1 47 23,819 1,119,493

Collatz Trajectory (59 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,119,493 3,358,480 1,679,240 839,620 419,810 209,905 629,716 314,858 157,429 472,288 236,144 118,072 59,036 29,518 14,759 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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